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lencoe/M

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-Hill

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-Hill

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Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

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ght

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lencoe/M

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-Hill

, a d

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raw

-Hill

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pa

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s,

Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

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of T

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McG

raw

-Hill

Com

pa

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s,

Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

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of T

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McG

raw

-Hill

Com

pa

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s,

Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

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of T

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McG

raw

-Hill

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pa

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Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

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of T

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McG

raw

-Hill

Com

pa

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s,

Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

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of T

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McG

raw

-Hill

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pa

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Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

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McG

raw

-Hill

Com

pa

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Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

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-Hill

, a d

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-Hill

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pa

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NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

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lencoe/M

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-Hill

, a d

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raw

-Hill

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pa

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NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

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McG

raw

-Hill

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pa

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Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

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-Hill

, a d

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McG

raw

-Hill

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pa

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NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

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ght

© G

lencoe/M

cG

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-Hill

, a d

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-Hill

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pa

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NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

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raw

-Hill

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pa

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Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

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McG

raw

-Hill

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pa

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Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

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McG

raw

-Hill

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pa

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Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

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McG

raw

-Hill

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pa

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NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

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-Hill

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pa

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NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

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McG

raw

-Hill

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pa

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Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

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McG

raw

-Hill

Com

pa

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Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

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-Hill

, a d

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-Hill

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pa

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s,

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NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

ivis

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of T

he

McG

raw

-Hill

Com

pa

nie

s,

Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

ivis

ion

of T

he

McG

raw

-Hill

Com

pa

nie

s,

Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

ivis

ion

of T

he

McG

raw

-Hill

Com

pa

nie

s,

Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

ivis

ion

of T

he

McG

raw

-Hill

Com

pa

nie

s,

Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

ivis

ion

of T

he

McG

raw

-Hill

Com

pa

nie

s,

Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

ivis

ion

of T

he

McG

raw

-Hill

Com

pa

nie

s,

Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

ivis

ion

of T

he

McG

raw

-Hill

Com

pa

nie

s,

Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

ivis

ion

of T

he

McG

raw

-Hill

Com

pa

nie

s,

Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.

Copyri

ght

© G

lencoe/M

cG

raw

-Hill

, a d

ivis

ion

of T

he

McG

raw

-Hill

Com

pa

nie

s,

Inc.

NAME DATE PERIOD

Lesso

n 4

-3

4-3

Chapter 4 19 Glencoe Algebra 2

Skills Practice

Solving Quadratic Equations by Factoring

Write a quadratic equation in standard form with the given root(s).

1. 1, 4 2. 6, -9

3. -2, -5 4. 0, 7

5. - 1 − 3 , -3 6. - 1 −

2 ,

3 −

4

Factor each polynomial.

7. m2 + 7m - 18 8. 2x2 - 3x - 5

9. 4z2 + 4z - 15 10. 4p2 + 4p - 24

11. 3y2 + 21y + 36 12. c2 - 100

Solve each equation by factoring.

13. x2 = 64 14. x2 - 100 = 0

15. x2 - 3x + 2 = 0 16. x2 - 4x + 3 = 0

17. x2 + 2x - 3 = 0 18. x2 - 3x - 10 = 0

19. x2 - 6x + 5 = 0 20. x2 - 9x = 0

21. x2 - 4x = 21 22. 2x2 + 5x - 3 = 0

23. 4x2 + 5x - 6 = 0 24. 3x2 - 13x - 10 = 0

25. NUMBER THEORY Find two consecutive integers whose product is 272.